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Finding the Third Proportional to 6,253.45 and 9,171.35

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Solution

The third proportional to 6,253.45 and 9,171.35 is: 13,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,253.45 : 9,171.35 = 9,171.35 : x
  2. Step 2: Convert to fraction form
    6,253.45/9,171.35 = 9,171.35/x
  3. Step 3: Cross multiply
    6,253.45x = 9,171.35 × 9,171.35
  4. Step 4: Simplify right side
    6,253.45x = 84,113,689.48
  5. Step 5: Solve for x
    x = 84,113,689.48/6,253.45
  6. Step 6: Final answer
    x = 13,450.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.